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Finding the Fourth Proportional to 148,411, 222,629.46 and 37,603

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Solution

The fourth proportional to 148,411, 222,629.46 and 37,603 is: 56,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,411 : 222,629.46 = 37,603 : x
  2. Step 2: Convert to fraction form
    148,411/222,629.46 = 37,603/x
  3. Step 3: Cross multiply
    148,411x = 222,629.46 × 37,603
  4. Step 4: Simplify right side
    148,411x = 8,371,535,584.38
  5. Step 5: Solve for x
    x = 8,371,535,584.38/148,411
  6. Step 6: Final answer
    x = 56,407.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.